Question

In a given figure O is the orthocentre and ZOBC= 25° then find the value of ВАС​

Answer 1

Answer:

We know that ZACB = ZPCB

In AP CB

Using the angle sum property

ZPCB+ 4BPC +/PBC = 180°

We know that ZAP B and ZBP C are linear pair

By substituting the values

ZPCB + (180° - 110°) +25° = 180°

On further calculation

ZP BC +70° +25° = 180°

ZPCB+95° = 180°

By subtraction

ZP CB = 180° - 95⁰

So we get

ZPCB = 85⁰

We know that the angles in the same segment of a circle equal

ZADB = ZACB = 85⁰

Therefore, the value of ZADB is 85⁰

Answer 2

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